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2 years ago

If 10^3x=1/0.001,find the value of x

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

Firstly, look at the left hand of the equation

1/0.001 = 1000 = 10^3

then

10^3x = 1000= 10^3

then

10^3x = 10^3

then

x= 1

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To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

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$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

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The approximate solutions to the system of equations are:

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If 10^3x=1/0.001,find the value of x​

If 10^3x=1/0.001,find the value of x